Absolute Value Equations
Absolute Value Inequalities
Solving Systems: Substitution
Solving Systems: Elimination
Solving Systems: Graphing
Systems of Eqns Word Problems
100
Graph the equation:
y=|x-2|+1
100
Graph the inequality:
y>=|x-2|+1
What is
100
Solve the system using SUBSTITUTION
-4x+3y=-2
y=x-1
What is:
(-1,-2)
100
Solve the system using ELIMINATION
x+2y=4
-x-4y=2
What is
(10,-3)
100
Solve the system using GRAPHING
y=2x+2
y=x-1
What is
(-3,-4)
100
Set up but DO NOT SOLVE the system that would represent this word problem:
"The sum of two numbers is 25. The difference of the same two numbers is 7."
What is
x+y=25
x-y=7
200
Graph the equation:
y=-|x|+3
200
Graph the inequality:
y<-|x-3|-2
What is
200
Solve the system using SUBSTITUTION
y=x+6
y=2x+7
What is
(-1,5)
200
Solve the system using ELIMINATION
-4x-3y=-11
-5x+3y=-61
What is
(-7,8)
200
Solve the system by GRAPHING
y=2/3x+2
y=2x-6
What is
(6,6)
200
Set up but DO NOT SOLVE the system:
"The sum of two numbers is 36. One number is three times the other."
What is
x+y=36
x=3y
300
The equation for the parent graph y=|x| that has been reflected over the x-axis and shifted to the right 5
What is
y=-|x-5|
300
How is an absolute value inequality different than an absolute value equation graph?
What is:
Absolute value inequality graphs have (1) either a dotted or solid line depending on the inequality symbol and (2) have shading that depicts the set of coordinate points that satisfy the inequality (are solutions).
300
Solve the system using SUBSTITUTION
2x+5y=19
y=3x-3
What is
(2,3)
300
Solve the system using ELIMINATION
8x+y=-16
-3x+y=-5
What is
(-1,-8)
300
Solve the system using GRAPHING
y=-1/2x+4
x+2y=-12
What is
No solution
300
Set up but DO NOT SOLVE the system:
"The sum of two numbers is 12. One number is two more than three times the other."
What is
x+y=12
x=3y+2
400
Write the equation for the graph:
What is
y=-|x+2|-2
400
Write the equation for this inequality:
What is
y>|x+1|+2
400
Solve the system using SUBSTITUTION
-3x-y=-1
x-y=-13
What is
(7,20)
400
Solve the system using ELIMINATION
-4x+9y=9
x-3y=-6
What is
(9,5)
400
Solve the system using GRAPHING
y=1/2x-3
3x+2y=2
What is:
(2,-2)
400
Set up AND SOLVE the system:
"The sum of two numbers is 30. The difference between the same two numbers is 18. Find the two numbers."
What is:
x+y=30
x-y=18
The two numbers are 24 and 6.
500
Write the equation for the graph:
What is
y=2|x-3|+1
500
Write the equation for the inequality:
What is:
y<=-|x+2|
500
Solve the system using SUBSTITUTION
3x-y=-9
2x+4y=8
What is
(-2,3)
500
Solve the system using ELIMINATION
-7x+y=-19
-2x+3y=-19
What is
(2,-5)
500
Solve the system using GRAPHING
2x-y=8
6x-3y=24
What is
Infinitely many solutions
500
Set up AND SOLVE the system:
"The sum of two numbers is 25. One number is one more than two times the other number. What is the PRODUCT of the two numbers?"
What is:
x+y=25
x=2y+1
The product of the two numbers is 136